Fascia extending above Eave?

Have a garage roof that needed some serious work. The current fascia board extends about 1.5" above the roof deck. Acts as a gutter and diverts the water to either edge of the eave. I was simply going to replace everything the way it was, and am looking for the proper way to seal it. (I was thinking a piece of flashing that has an open "P" shape, --u ). I spent the past 2 hours searching the internet for a "how to" or advice and can't find any explanation of this set up. What is the terminology for this type of eaves. Or is this something no longer done in roofing?